Resummation of the divergent perturbation series for a hydrogen atom in an electric field

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Abstract

Resummation of the divergent perturbation series for the energy displacement of hydrogen atom in an electric field was discussed. Borel transform of the divergent perturbation series exhibited a rich singularity structure in the complex plane. It was shown that the Borel transform for the LoSurdo-Stark effect involved two cuts in Borel plane. This was due to the divergent alternating and nonalternating subcomponents of the perturbation series. The singularity structure was also expected for the divergent perturbation series of quantum chromodynamics.

Original languageEnglish
Article number0134031
Pages (from-to)134031-1340313
Number of pages1206283
JournalPhysical Review A. Atomic, Molecular, and Optical Physics
Volume64
Issue number1
Publication statusPublished - Jul 2001

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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